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Finding the Fourth Proportional to 154.52, 214.68 and 153.10

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Solution

The fourth proportional to 154.52, 214.68 and 153.10 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.52 : 214.68 = 153.10 : x
  2. Step 2: Convert to fraction form
    154.52/214.68 = 153.10/x
  3. Step 3: Cross multiply
    154.52x = 214.68 × 153.10
  4. Step 4: Simplify right side
    154.52x = 32,867.51
  5. Step 5: Solve for x
    x = 32,867.51/154.52
  6. Step 6: Final answer
    x = 212.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.